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Finding the Fourth Proportional to 94.18, 141.05 and 61.66

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Solution

The fourth proportional to 94.18, 141.05 and 61.66 is: 92.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.18 : 141.05 = 61.66 : x
  2. Step 2: Convert to fraction form
    94.18/141.05 = 61.66/x
  3. Step 3: Cross multiply
    94.18x = 141.05 × 61.66
  4. Step 4: Simplify right side
    94.18x = 8,697.14
  5. Step 5: Solve for x
    x = 8,697.14/94.18
  6. Step 6: Final answer
    x = 92.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.